Question 7 The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.5 8.4 6.9 3.9 2.4 2.4 2.7 0.6 y 13.6 11.5 10.1 7.6 6.4 6.3 6 4.4 x= thousands of automatic weapons y= murders per 100,000 residents This data can be modeled by the equation y=0.85x+4.12.y=0.85x+4.12. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons? Answer = Round to 3 decimal places.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question 7
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
| x | 11.5 | 8.4 | 6.9 | 3.9 | 2.4 | 2.4 | 2.7 | 0.6 |
|---|---|---|---|---|---|---|---|---|
| y | 13.6 | 11.5 | 10.1 | 7.6 | 6.4 | 6.3 | 6 | 4.4 |
x= thousands of automatic weapons
y= murders per 100,000 residents
This data can be modeled by the equation y=0.85x+4.12.y=0.85x+4.12. Use this equation to answer the following;
Special Note: I suggest you verify this equation by performing linear regression on your calculator.
Use the equation with the values rounded to two decimal places to make your predictions.
A) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons?
Answer = Round to 3 decimal places.
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